Both of the Bay Area NFL quarterbacks turned in bad Week One performances.

Both faced elite defenses. Both were let down by their supporting casts, to varrying degrees, up front and out wide. Both threw three interceptions.

But there is a big difference between 49ers quarterback Jimmy Garoppolo’s poor game against the Vikings and Raiders quarterback Derek Carr’s poor performance against the Rams, and that difference is why I’m betting on Garoppolo to bounce back in Week Two and why I’m not optimistic Carr can do the same.

You see, generally speaking (we’re not going to go All-22 truther here) Garoppolo’s mistakes against Minnesota — which were no doubt troublesome — were errors of commission. He tried to push the ball downfield against the best defense in the NFC and was burned.

But Carr’s performance was filled with errors of omission. He wasn’t challenging the defense by pushing the ball downfield — he was dinking and dunking at a possibly historic rate and he still found a way to turn the ball over three times.

While there’s no acceptable three-interception game, one effort is forgivable and the other isn’t.

Making it all the more confusing is the fact that, when comparing these two quarterbacks, Carr is the one with the cannon arm and the perception that he has a gunslinging mentality, while Garoppolo is the short-to-intermediate passer who values accuracy.

We’re living in strange times, friends.

The Garoppolo Week One debacle doesn’t need a tremendous amount of analysis — the Vikings ate him up via dominant pass rush and timely blitzes, so he threw the ball to them three times.

Still, even without the team’s top (only?) deep threat, Marquise Goodwin, Garoppolo challenged downfield. Eighteen on Garoppolo’s 33 pass attempts against Minnesota traveled eight yards or deeper. Attempts were made — without much time to throw, Garoppolo’s attempted throws averaged 11.2 yards in the air — fifth best in the NFL in Week One.

Furthering the case that Garoppolo was pushing the ball downfield, I’ll cite the NFL “aggressiveness percentage” percentage. I don’t understand it, but it seems to indicate aggressiveness, so I’ll cite it: Garoppolo checked in at 24.2 percent, sixth-best in the league in Week One.

Playing the Lions — with their poor pass rush — should make things easier for Garoppolo in Week Two. At the same time, Detroit is going to disguise passing coverages — that’s the book on beating the San Francisco quarterback. Can Garoppolo recognize those disguises and continue to deliver the ball downfield?

On the flip side, Carr attempted only 5.3 air yards per pass attempt in Week One. The only quarterback worse in the first game of the season was Washington’s Alex Smith, who checked in at 3.7 air yards per pass attempt.

(Washington’s coach is Jay Gruden. Hmmmmmmm.)

Carr’s excuses for his timid play in Week One were re-runs from 2017. We don’t need to play the greatest hits for him again.

At the same time, knee-jerk apologists decided that the Raiders’ deep threat, Amari Cooper (one catch) needed to be better against the Rams.

That argument doesn’t play with Jon Gruden and it shouldn’t play with you either.

“Cooper was open deep,” Gruden said this week. “He was open a couple times. For whatever reason, we didn’t go there.”

For whatever reason…

The reason is quite obvious, but terribly unsavory. Carr couldn’t keep his composure in the pocket.

(Jane Tyska/Bay Area News Group) Jane Tyska/Bay Area News Group

Per SportRadar (as cited by The Athletic), Cooper averaged 3.61 yards of separation per throw on Monday — eighth-best in the NFL in Week One. He was open. Jordy Nelson wasn’t far behind him at 3.59. He was open, too.

Carr wasn’t looking for either receiver.

Per Pro Football Focus, Carr averaged 2.16 seconds between snap and pass against the Rams. With a release that fast — albeit aided (but not entirely) by the Rams’ pass rush — it’s impossible to fully scan the field and sense receivers coming out of breaks.

(For the record, if Carr keeps throwing the ball this fast, it’d set a new PFF record for a season — it’ll probably get him benched by the time the Raiders go to London to play the Seahawks in October.)

Gruden’s offense is predicated on precision pragmatism — he wants to use a dagger to stab you in your weakest point forty, fifty times a game — and I don’t see any problem with that.

But even Gruden knows that sometimes you need to bust out the bazooka, and that part of his offense requires precision timing.

Carr has played rushed for years — that’s his thing. Last year, the NFL clocked his average time to throw at 2.49 seconds (fourth-fastest in the league)— the exact same number he posted in 2016.

Here’s the kicker: Being fast to throw the ball isn’t a terrible thing in the dagger portion of Gruden’s offense.

But it’s fair to wonder if that aspect of Gruden’s offense is re-enforcing Carr’s worst tendencies, exacerbating his uncomfortableness in the pocket on deeper passing plays, and ultimately curtailing his ability to push the ball downfield.

(Jane Tyska/Bay Area News Group)

Going up against the Rams certainly didn’t help, but playing the Broncos this week — on the road, at altitude, on a short week — is arguably as bad.

The Rams predictably put up incredible inside pressure in against the Raiders Monday — that’s what having Ndamukong Suh and Aaron Donald at defensive tackle will do — but the Broncos will generate tremendous outside pressure with Von Miller and Bradley Chubb at defensive end.

Against the Seahawks last week, Denver registered 11 quarterback pressures, six sacks, and eight tackles for loss.

This might be a good time to remind you that the Raiders’ offensive line coach, Tom Cable, held the same job in Seattle from 2011 to 2017 — that’s still his offensive line up north.

Will Carr be able to correct his Week One errors against that defense? Will he stand poised in the pocket and be able to deliver the ball downfield when asked?

Another game highlighted by errors of omission could signal the beginning of the end for the Raiders’ veteran quarterback. Gruden has no patience for that kind of play.